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Finding the Fourth Proportional to 11,081.84, 15,288.36 and 7,726.64

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Solution

The fourth proportional to 11,081.84, 15,288.36 and 7,726.64 is: 10,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.84 : 15,288.36 = 7,726.64 : x
  2. Step 2: Convert to fraction form
    11,081.84/15,288.36 = 7,726.64/x
  3. Step 3: Cross multiply
    11,081.84x = 15,288.36 × 7,726.64
  4. Step 4: Simplify right side
    11,081.84x = 118,127,653.91
  5. Step 5: Solve for x
    x = 118,127,653.91/11,081.84
  6. Step 6: Final answer
    x = 10,659.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.